Answer:
D. impossible to estimate
Explanation:
According to the doppler effect, the frequency of the wave will increase.
let u be the speed of the submarine,
let the speed of sound in water be c,
let initial frequency of the sent out wave be f,
let frequency of received wave be f'
The distance occupied by the new wave will be (c - u), therefore, the new wavelenght will be (c - u)/f
Frequency = speed of sound ÷ wavelenght
therefore the new Freq f' will be
f' = cf/(c - u) which will be shorter than the initial wavelenght.
But we do not know the speed of the submarine, so we can't estimate.
how to find the resultant force of charges in an equilateral triangle
Answer:use the triangle formula
Explanation:
A spring is laid horizontally on a table and a force of 62 N is required to stretch the spring 12 cm. The spring is then held vertically and an object is attached to the end of it which causes the spring to stretch 9.7 cm. What is the Mass of the object?
SHOW YOUR WORK
Answer:
5.11 kg
Explanation:
Hooke's law states that stress is directly proportional to strain. It can be represented by the equation:
F = -kx
Where x is the displacement of the spring’s end from its equilibrium position, F is the force applied to the spring, k is a constant known as spring constant.
At first a force (F) of 62 N i used to stretch a spring by 12 cm (x).
Substituting into Hooke's equation:
F = kx
k = F/x = 62 / 12 = 5.17 N/cm
The spring is then held vertically and an object. The object is acted by upon by acceleration due to gravity since it is vertically upward. Therefore the force created by the object F = mg where g = acceleration due to gravity = 9.8 m/s². It causes a stretch (x) of 9.7 cm
Therefore:
mg = 5.17 N/cm × 9.7 cm
9.81m = 50.117
m = 50.117 / 9.81 = 5.11 kg
An electric charge, A, is placed carefully between two other charges, B and C, and experiences no net electric force. Do B
and C have the same charge (positive OR negative) as one another, opposite charges from one another, or do you not have
enough information to tell?
Answer:
I do not have enough information to tell
Explanation:
This is deduced due to the fact that if the net force due to B and C on A is zero, the charges on B and C could either be positive or negative depending on the charge on A.
What is the definition for Astronomy?
Answer:
Astronomy is the branch of science that deals with celestial objects and space, including the physical universe.
Explanation:
Hope this helps :)
Answer:The definition of astronomy is the scientific study of matter outside of the atmosphere of the Earth including stars, planets and what they are made of and how they move.
Explanation:
A 90g ball, initially at rest, is dropped from a height of 2.1m.
a. Calculate the net force acting on the ball.
b. Calculate the acceleration of the ball.
c. Calculate the final velocity of the ball just before it hit the ground.
Answer:
a. 0.882 N b. 9.8 m/s² c. 6.42 m/s
Explanation:
a. The net force acting on the ball is its weight W = mg were m = mass of ball = 90 g = 0.090 kg and g = acceleration due to gravity = 9.8 m/s²
W = mg = 0.090 kg × 9.8 m/s² = 0.882 N
b. The acceleration = g = acceleration due to gravity = 9.8 m/s² since it is falling freely
c. Using v² = u² + 2as where v = final velocity of ball, u = initial velocity of ball = 0 m/s, a = acceleration of ball = 9.8 m/s² and s = height = 2.1 m. Substituting the values of the variables, we ave
v² = u² + 2as = 0² + 2(9.8 m/s²) × 2.1 m = 41.16
v = √41.16 = 6.42 m/s
In a parallel circuit, more current will take the path of LEAST RESISTANCE.
True
False
Answer:
True
Explanation:
This is because least resistance would allow more current to pass through it. Since current, I is inversely proportional to resistance, R.
Which type of force(s) will cause a change in an object's motion?
Any force that's not cancelled by another force, with identical strength but pointed the opposite way, will cause a change in the object's speed or direction (or both).
When that happens, we say that the forces on the object are "unbalanced", and the object is experiencing "acceleration".
Forces cause changes in an object's motion, including starting movement, changing speed, or altering direction. Types of forces that can initiate these changes are spring forces and applied forces, following Newton's laws of motion.
Forces are essential concepts in physics responsible for causing changes in the motion of objects. They can produce different effects, such as causing an object to start moving, changing its speed or direction, or even deforming it. Types of forces include gravity, spring forces, and applied forces, derived from various actions like pushing, pulling, or thrust.
According to Newton's laws, a force is defined as any interaction that, when unopposed, will change the state of motion of an object. This means that if no other forces are at play, a single force can accelerate an object. Moreover, when a force is applied at an angle to the direction of motion, it can change both the speed (magnitude of velocity) and the direction of the object. The component of force in the direction of motion affects speed, while the perpendicular component affects direction.
An everyday example of force is the action of a garage door opener. When you press the button, your finger is not directly applying force to the door, but it triggers a mechanism that applies force to move the door. Similarly, pulling on a leash exerts force that changes the motion of a reluctant dog; the forces are between the leash and the dog, not directly from your hand.
there is a bell at the top of a tower that is 45m high. the bell has a mass of 18kg. the bell has what energy
Answer:
the bell has potential energy equal to,
18 x 9.8 x 45 = 7938 joules
What is power, and what is its relationship to voltage and amperage?
Do magnets stick to all metal?
Answer:
No, only metal with magnetic properties.
Explanation:
Brass, Gold, Silver, are just some examples of metal magnets cannot stick on.
~
Question 20
5 pts
A 3.00-cm tall light bulb is placed at a distance of 50 cm from a thin convex lens having a focal length of
13 cm. What is the image distance?
Answer:
The image distance is 17.56 cm
Explanation:
We have,
Height of light bulb is 3 cm.
The light bulb is placed at a distance of 50 cm. It means object distance is, u =-50 cm
Focal length of the lens, f = +13 cm
Let v is distance between image and the lens. Using lens formula :
[tex]\dfrac{1}{f}=\dfrac{1}{v}-\dfrac{1}{u}\\\\\dfrac{1}{v}=\dfrac{1}{f}+\dfrac{1}{u}\\\\\dfrac{1}{v}=\dfrac{1}{13}+\dfrac{1}{(-50)}\\\\v=17.56\ cm[/tex]
So, the image distance is 17.56 cm.
Final answer:
Explanation on how to calculate the image distance for a light bulb placed 50 cm away from a thin convex lens with a 13 cm focal length.
Explanation:
The image distance for the light bulb placed 50 cm away from a thin convex lens with a focal length of 13 cm can be calculated using the lens formula:
1/f = 1/do + 1/di
Where:
f = focal length of the lens (13 cm)
do = object distance from the lens (50 cm)
Solving for di, the image distance would be around 15.62 cm.
The critical angle at the boundary between a ruby and the air is 34.6º. Use this to calculate the refractive index of this ruby. Give your answer to
two decimal places.
Answer:1.8
Explanation:
Critical angle=c=34.6
Refractive index =n
n=1/sinc
n=1/sin34.6
n=1/0.5678
n=1.8
Refractive index is 1.8
The refractive index of the ruby is 1.8
What is Refractive index?
The refractive index of an optical medium is defined as a dimensionless number indicating the light bending ability of that medium which determines how much the path of light is bent or refracted when entering the material.
Refractive index can be expressed as:
[tex]n=\frac{c}{v}[/tex]
n= Refractive index
[tex]{c}[/tex]= Speed of light
[tex]{v}[/tex]=Phase velocity of light
It can also expressed as:
n=1/sinc
For above given information, critical angle=c=34.6
Refractive index =n= 1/sin34.6
n=1/0.5678
n=1.8
Thus, the refractive index of the ruby is 1.8
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Calculate the period of oscillation of a pendulum with a small amplitude whose length is 2.5 meters.
Final answer:
The period of oscillation for a small amplitude pendulum with a length of 2.5 meters can be calculated using the equation T = 2π√(L/g). Using the accepted value of g, the period can be determined to be approximately 3.18 seconds.
Explanation:
The period of oscillation for a small amplitude pendulum can be calculated using the equation T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity. In this case, the length of the pendulum is given as 2.5 meters. Plugging in the values, we have T = 2π√(2.5/g).
To find the value of g, we can use the accepted value of 9.8 m/s². Calculating T using this value, we can find the period of the pendulum.
Example Calculation:
T = 2π√(2.5/9.8) = 2π√(0.255102) = 2π(0.5051) ≈ 3.18 seconds
Which statement best describes the relationship between
literary form and genre?
Form usually determines the genre
Genre usually determines the form
Form and genre are synonyms
Neither form nor genre usually determines the other. They coexist and influence each other to create diverse literary works. Form is a tool authors use to express their ideas and stories, while genre provides a framework and context within which these ideas are explored.
The relationship between literary form and genre is a nuanced one, and it's not accurate to suggest that one usually determines the other. Instead, they are interrelated but serve different functions in the world of literature.
Form and Genre Defined:
Form: Literary form refers to the structure or style in which a piece of writing is composed. It encompasses elements such as rhyme scheme, narrative perspective, and literary techniques.
Genre: Genre, on the other hand, refers to the category or classification of literature based on shared characteristics and conventions. Common literary genres include fiction, non-fiction, poetry, drama, mystery, romance, science fiction, and more.
Interplay Between Form and Genre:
Form's Influence on Genre: While form can influence genre to some extent (e.g., sonnets are a form often used in love poetry), it doesn't rigidly determine it. Many genres can be written in various forms. For instance, a mystery novel can be written in first-person narrative form or third-person omniscient form.
Genre's Influence on Form: Genre does influence form by setting certain expectations. For example, a sonnet is expected to follow specific rhyme and meter patterns because it's often associated with love poetry.
Synonymy Misconception:
It's incorrect to consider form and genre as synonyms. They are distinct but interconnected aspects of literature.
Literature can exist in various forms within a single genre, and a single form can be used across different genres.
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Form usually determines the genre, with literary form referring to structure and organization, and genre involving characteristics and conventions of a literary work.
The statement that best describes the relationship between literary form and genre is that Form usually determines the genre. Literary form refers to how a narrative is structured and organized, such as through sentences, paragraphs, dialogue, or poetic lines and stanzas. On the other hand, genre is a set of characteristics that make up a type of literary work, which could include conventions, themes, styles, and settings. Genres shape audience expectations and experiences, while forms provide the vessels through which stories are communicated.
For example, fiction is typically written using sentences and paragraphs as its form, expressing stories through prose. Poetry, with its distinct form, utilizes lines and stanzas to create lyrical and rhythmic expressions. Drama, as a form, is predominantly written in dialogue and designed for performance.
The choice of form can influence and sometimes determine the genre, as certain forms fit better with specific genres due to their unique characteristics and reader expectations. Hence, form and genre work together to create a cohesive and identifiable work of literature.
An electron in a TV is accelerated toward the screen. The potential between the back of the tube and the screen is 22,000 V (which is why it is a VERY good idea not to play around TV picture tubes). How much kinetic energy does the electron lose when it strikes the TV screen?
Answer:
The kinetic energy lost by the electron ΔK.E is 3.5244 × 10⁻¹⁵ J
Explanation:
Here we have;
Change in electric potential, ΔV, of the screen = 25000 V
The energy gained by the electron can be derived from the relation of change in electrical potential energy, ΔEPE, as follows;
ΔEPE = -Charge, q × ΔV
Therefore, since charge, q = -1.602 × 10⁻¹⁹ C we have;
ΔEPE = -(-1.602 × 10⁻¹⁹ C) × 25,000 V = 3.5244 × 10⁻¹⁵ C·V =
Also, since the electron is accelerated to the screen by the electrical potential energy, we have;
From the principle of conservation of energy in a given system;
The change in potential energy, ΔEPE of the electrons = Change in kinetic energy, ΔK.E, of the electrons3.5244 × 10⁻¹⁵ J
[tex]\Delta KE = \frac{1}{2} \cdot m \cdot v_f^2 - \frac{1}{2} \cdot m \cdot v_i^2[/tex]
Where:
m = Mass of the electron = 9.11 × 10⁻³¹ kg
[tex]v_i[/tex] = Initial velocity of the electrons = 0 m/s (electrons at rest)
[tex]v_f[/tex] = Final velocity of the electrons
[tex]\therefore \Delta KE = \frac{1}{2} \cdot m \times (v_f^2 - \cdot v_i^2)[/tex]
[tex]\therefore \Delta KE = \frac{1}{2} \cdot m \times (v_f^2 - 0) = \frac{1}{2} \cdot m \cdot v_f^2[/tex]
Hence;
The kinetic energy lost by the electron ΔK.E = ΔEPE = 3.5244 × 10⁻¹⁵ J.
A negative charge of - 8.0 x 10^-6 C exerts an attractive force of 12 N on a second charge that is
0.050 m away. What is the magnitude of the second charge?
Answer:
Magnitude of the second charge is [tex]-4.17*10^{-7}C[/tex]Explanation:
According to columbs law;
F = [tex]kq1q2/r^{2}[/tex]
F is the attractive or repulsive force between the charges = 12N
q1 and q2 are the charges
let q1 = - 8.0 x 10^-6 C
q2=?
r is the distance between the charges = 0.050m
k is the coulumbs constant =9*10⁹ kg⋅m³⋅s⁻⁴⋅A⁻²
On substituting the given values
12 = 9*10⁹*( - 8.0 x 10^-6)q2/0.050²
Cross multiplying
[tex]0.03=9*10^{9}* -8.0*10^{-6} q2\\0.03 = -72*10^{3} q2\\q2 = \frac{0.03}{ -72*10^{3}} \\q2 = -4.17*10^{-7}C[/tex]
Answer:
q₂ = + 4.17 x 10⁺⁷ C
Explanation:
From Coulomb's Law, we know that force of attraction or repulsion between two charges is given by:
F = kq₁q₂/r²
where,
F = force = 12 N
k = Coulomb's Constant = 9 x 10⁹ Nm²/C²
q₁ = magnitude of 1st charge = 8 x 10⁻⁶ C
r = distance between charges = 0.05 m
q₂ = magnitude of second charge = ?
Therefore,
12 N = (9 x 10⁹ Nm²/C²)(8 x 10⁻⁶ C)(q₂)/(0.05 m)²
0.03 Nm² = (72000 Nm²/C²)(q₂)
q₂ = (0.03 Nm²)/(72000 Nm²/C²)
q₂ = + 4.17 x 10⁺⁷ C
It is a positive charge, because there is attraction between opposite charges only.
During spring tide, the sun, earth, and moon are in a straight line. This causes...............
a. small difference between high and low tides
b. a higher chance of lunar eclipses
c. a higher chance of solar eclipses
d. a large difference between high and low tides
what are the two forces involved in an interaction called
Answer:These two forces are called action and reaction forces and are the subject of Newton's third law of motion. Formally stated, Newton's third law is: For every action, there is an equal and opposite reaction. The statement means that in every interaction, there is a pair of forces acting on the two interacting objects.
Explanation:
Final answer:
The two forces involved in an interaction are contact forces and field forces; contact forces require physical contact, like the Coulomb force resulting in friction, while field forces, such as gravitational and electromagnetic forces, act at a distance.
Explanation:
The two forces involved in an interaction are commonly referred to as contact forces and field forces. Contact forces occur due to direct physical contact between two objects. An example of this is the Coulomb force, which occurs between the charges in atoms and molecules in close proximity, such as when a baseball hits a bat. On a larger scale, these forces are experienced as the force of friction and the normal force.
In contrast, field forces act without the necessity of physical contact; they occur because of the presence of a field in the space around an object. Examples of field forces include the gravitational force, which is due to mass, and the electromagnetic force, which occurs between charged particles and can manifest as either electrostatic or magnetic forces. Both of these types of forces, contact and field forces, are essential for understanding the interactions between objects in physics.
1. Explain Why is Great
Britain's climate milder than
Newfoundland's?
Great Britain's climate is milder than Newfoundland's primarily due to the warming influence of the Gulf Stream, which brings warm tropical waters to the western coast of Europe. Additionally, the surrounding waters and geographical features also have a moderating effect on the climate.
The climate in Great Britain is milder than in Newfoundland due to the influence of the Gulf Stream. This ocean current transports warm water from the tropics northward along the western coast of Europe, which moderates temperatures.
Great Britain benefits from this effect, having a type C climate characterized by more temperate weather despite its northern latitude. On the other hand, Newfoundland, located on the eastern coast of Canada, does not receive the same warming benefits of the Gulf Stream, resulting in harsher winters and a more extreme climate.
Different geographical features also contribute to climatic variations. The presence of surrounding water bodies and the moderating effect of the ocean help to maintain a more stable, moderate climate. Coastal areas are generally warmer in the winter and cooler in the summer due to the ocean's temperature regulating properties. Meanwhile, Newfoundland experiences a colder climate partly because it is further from the moderating influence of the Gulf Stream and also because it is more removed from other major bodies of water compared to Great Britain.
Multiple lunar eclipses occur each year. How is it possible that each one can look different than the others? Explain.
Answer:
Because they don’t happen every month, a lunar eclipse is a special event. Unlike solar eclipses, lots of people get to see each lunar eclipse. If you live on the nighttime half of Earth when the eclipse happens, you’ll be able to see it. Remembering the Difference. It’s easy to get these two types of eclipses mixed up.
Explanation:
Final answer:
Multiple factors, including visibility, atmospheric conditions, and Earth's shadow, can cause each lunar eclipse to look different.
Explanation:
A lunar eclipse can look different each time due to several factors:
Visibility: Depending on the position of the Moon, its distance from the Earth, and the Earth's location in its orbit, the lunar eclipse may appear more or less visible. This can result in variations in brightness and coloring.Atmospheric Conditions: Weather conditions, such as clouds or pollution, can affect the appearance of a lunar eclipse. These factors can cause the Moon to appear dimmer or alter the color during an eclipse.Earth's Shadow: The angle at which the Moon enters the Earth's shadow can also influence the appearance. Different angles can result in varying degrees of darkness and shading on the lunar surface.These factors combined contribute to the unique appearance of each lunar eclipse, making each one a distinct astronomical event.
You have observed that it is possible that some of your organization's projects may end up having little or no value after they are completed. You are tasked with selecting potential future projects. Which type of projects would you recommend the organization consider?
a) only those projects that require a low budget
b) only those projects that other organizations have successfully completed
c) only projects similar to projects the team is experienced with
d) only those projects that are tied to specific organizational goals
On Earth, Yancy hits a golf ball as hard as he can. The golf ball flies 150 meters before hitting the ground. About how far would the golf ball fly if Yancy hit it on the surface of Mercury with exactly the same amount of force and in the same direction? (Ignore the air resistance on both planets.) A. 150 yards B. more than 150 meters C. 150 meters D. less than 150 meters
Answer:
More than 150 meters
Explanation:
Answer:
more than 150 meters
Explanation:
A uniform electric field with a magnitude of 250 N/C is directed in the positive x direction. A 12 μC charge moves from the origin to the point (20.0 cm, 50.0 cm). What is the change in the electrical potential ener- gy of the system as a result of the change in position of this charge?
The change in electrical potential energy of the system can be calculated using the equation: ΔPE = q * ΔV, where ΔPE is the change in potential energy, q is the charge, and ΔV is the change in electric potential. In this case, the change in electrical potential energy of the system is 0.060 J.
Explanation:The change in electrical potential energy of the system can be calculated using the equation:
ΔPE = q * ΔV
Where ΔPE is the change in potential energy, q is the charge, and ΔV is the change in electric potential.
In this case, the charge q is 12 μC and the change in electric potential is given by ΔV = E * d, where E is the electric field strength and d is the displacement.
Plugging in the values, we get:
ΔPE = (12 μC) * (250 N/C) * (20.0 cm) * (1 m/100 cm)
Simplifying the units and the calculation, the change in electrical potential energy of the system is 0.060 J.
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To find the change in electrical potential energy, calculate the work done by the electric field as the charge moves along the x-axis. The work done equals 6 × 10⁻⁴ J, which is the change in electrical potential energy.
Change in Electrical Potential Energy
To determine the change in electrical potential energy of the system, we need to consider the direction and magnitude of the electric field and the charge's movement.
The electric field extbf(E) is directed along the positive x-axis with a magnitude of 250 N/C. The charge q is 12 μC (microcoulombs), or 12 × 10-6 C.
The initial position of the charge is at the origin (0,0), and the final position is (20.0 cm, 50.0 cm). Convert these to meters: (0.2 m, 0.5 m). The electric field works only along the x-axis, so we only need the change in the x-coordinate.
Work done by the electric field is defined as:
W = qEΔx
Here, Δx = xfinal - xinitial = 0.2 m - 0 m = 0.2 m.
Now, substitute the values:
W = (12 × 10⁻⁶ C) * (250 N/C) * (0.2 m)
W = 12 × 10⁻⁶ * 250 * 0.2
W = 12 × 10⁻⁶ * 50
W = 600 × 10⁻⁶ J
W = 6 × 10⁻⁴ J
This work is equal to the change in electrical potential energy (old{ΔU}) of the system.
The change in electrical potential energy of the system is 6 × 10⁻⁴ Joules.
A cyclical motion occurs because of density differences in the mantle. Heated, less dense lower regions of the fluid mantle rise, and denser, cooler regions sink due to gravity. The combined motions serve as the engine for crustal plate movement.
A. convection currents
B. subduction
C. density circles
D. seafloor spreading
Which cells or organs are considered to be part of both the immune and lymphatic systems? Select all that apply.
arteries
lymph nodes
capillaries
tonsils and adenoids
veins
thymus
Answer:
lymph nodes
tonsils and adenoids
thymus
Explanation:
-Arteries are the blood vessels that take the blood that contains oxygen from the heart to the tissues and are part of the circulatory system.
-Lymph nodes are glands that take care of filtering the fluid that goes through the lympathic system and are also important for the functioning of the immune system.
-Capillaries are blood vessels that connect the veins and arteries and are part of the circulatory system.
-Tonsils and adenoids are located in the throat and they help protect the body from diseases and they are part of immune system and the lympathic system.
-Veins are the vessels that take the blood to the heart and they are part of the circulatory system.
-Thymus is an organ in which the T cells develop and they help protect the body against virus and bacteria and it is part of the immune and lympathic systems.
According to this, cells or organs that are considered to be part of both the immune and lymphatic systems are:
lymph nodes
tonsils and adenoids
thymus
Answer:
B), D), & E)
Explanation:
Edge 2021
Predict what will be observed in each experiment below. experimentpredicted observation (choose one) A student sees tiny bubbles clinging to the inside of an unopened plastic bottle full of carbonated soft drink. The student squeezes the bottle. The bubbles will shrink, and some may vanish.The bubbles will grow, and more may appear.The bubbles won't change.I need more information to predict what will happen to the bubbles. A student sees tiny bubbles clinging to the inside of an unopened plastic bottle full of carbonated soft drink. The student opens the bottle, and hears a loud hiss as gas under pressure escapes from the bottle. The bubbles will shrink, and some may vanish.
Answer:
A
Explanation: The bubbles will shrink , some may vanish. SInce the bottle is unopened , squeezing the bottle will increase the pressure on the ca p.
Answer:
B) The bubbles will grow, and more may appear.
Explanation:
An object is moving forward and then gets knocked sideways, what is this force called?
Final answer:
The force that knocks an object moving forward sideways is an external force, as described by Newton's first law of motion. This could be due to a collision, friction, or other forces changing the object's direction, like the effect felt during a sharp turn in a car.
Explanation:
The force you are asking about, when an object moving forward gets knocked sideways, is typically called an external force. In accordance with Newton's first law of motion, which states that an object will maintain its state of motion unless acted upon by a net external force, this sideways force changes the object's state of motion. In real-world situations, several forces can act as this external force, such as friction, tension, normal force, or even another object colliding with the one in motion.
For example, if an object like a rolling ball is knocked sideways by another ball, the sideways force is the result of the collision between the two balls. This changes the direction of the ball's momentum, creating a new motion path. Similarly, when a car makes a sharp turn, the force exerted by the friction between the tires and the road surface is what changes the direction of the car's velocity. This is why you might feel a force pushing you sideways in the seat, often referred to as a centrifugal effect, which is in fact the inertia of your body wanting to continue in a straight line.
The nuclear equation is incomplete.
What particle completes the equation?
Answer: C
Explanation: 1+7 = 6+2 =8 -protons
1+15 = 12+4 = 16 - protons +neutrons
The complete equation for the given nuclear reaction can be represented as:
[tex]\ce {^{1}_{1}H}+ \ce {^{15}_{7}N}\longrightarrow \; \ce {^{12}_{6}C} + \ce {^{4}_{2}He}[/tex]
What is the nuclear reaction?In nuclear chemistry, a nuclear reaction can be defined as a nuclear process in which two nuclei and subatomic particles, collide to produce one or more new nuclides. Therefore, a nuclear reaction will be caused a transformation of one nuclide to another nuclide.
The term "nuclear reaction" can be referred either to a change in a nuclide by collision with a subatomic particle or to a spontaneous change of a nuclide without any collision.
The given incomplete reaction can be represented as:
[tex]\ce {^{1}_{1}H}+ \ce {^{15}_{7}N}\longrightarrow \; ? + \ce {^{4}_{2}He}[/tex]
The sum of the mass number on both sides will be equal:
1 + 15 = A + 4
A = 16 - 4
A = 12
The sum of the atomic numbers on both sides of the arrow will be equal :
1 + 7 = Z + 2
Z = 8 - 2
Z = 6
Therefore, the missing nuclide is ¹²C₆. The complete nuclear equation will be written as:
[tex]\ce {^{1}_{1}H}+ \ce {^{15}_{7}N}\longrightarrow \; \ce {^{12}_{6}C} + \ce {^{4}_{2}He}[/tex]
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Suppose an automobile has a kinetic energy
of 2300 J.
When it moves with six times the speed,
what will be its kinetic energy?
Answer in units of J.
Answer:
Explanation:
Given that,
Kinetic energy of an automobile is 2300J
K.E = 2300J
The formula for kinetic energy is
K.E = ½mv²
So, if the speed of the automobile is increased by 6, what is the kinetic energy
Now v' = 6v.
The mass of the automobile is constant.
Therefore, the kinetic energy is
K.E' = ½mv'²
Where v' = 6v
K.E' = ½m(6v)²
K.E' = ½m × 36v²
K.E' = 36 × ½mv²
Where, from above ½mv² = 2300J
Then,
K.E' = 36 × 2300 = 82,800J
The kinetic energy of the automobile when it increase it's speed is 82,800J
When the automobile moves with six times the initial speed, its kinetic energy will be 82800 J.
The kinetic energy (KE) of an automobile is given by the formula:
[tex]\[ KE = \frac{1}{2}mv^2 \][/tex]
where[tex]\( m \)[/tex]is the mass of the automobile and [tex]\( v \)[/tex] is its velocity.
If the automobile's kinetic energy is 2300 J at a certain speed, then we can denote this initial kinetic energy as [tex]\( KE_{initial} \)[/tex]and the initial speed as[tex]\( v_{initial} \)[/tex]. We have:
[tex]\[ KE_{initial} = \frac{1}{2}mv_{initial}^2 = 2300 \, \text{J} \][/tex]
When the automobile moves with six times the initial speed, its new speed is [tex]\( v_{new} = 6v_{initial} \).[/tex] The new kinetic energy[tex]\( KE_{new} \)[/tex]can be calculated using the same formula:
[tex]\[ KE_{new} = \frac{1}{2}m(6v_{initial})^2 \] \[ KE_{new} = \frac{1}{2}m \cdot 36v_{initial}^2 \] \[ KE_{new} = 36 \cdot \frac{1}{2}mv_{initial}^2 \] \[ KE_{new} = 36 \cdot KE_{initial} \][/tex]
Since [tex]\( KE_{initial} = 2300 \, \text{J} \)[/tex], we substitute this value into the equation:
[tex]\[ KE_{new} = 36 \cdot 2300 \, \text{J} \] \[ KE_{new} = 82800 \, \text{J} \][/tex]
The answer is: 82800.
3. To open a soda bottle, a force of 55.0 N is applied to the bottle opener. If the bottle opener
applies a force of 675 N to the cap, what is the mechanical advantage of the bottle opener?
Output Force: 55.0 N
Input Force: 675 N
Mechanical Advantage:
Answer:
0.0815
Explanation:
Mechanical advantage is output force/input force. So all you have to do is 55.0N/675N ~ 0.0815
Hope this helped!
Final answer:
The mechanical advantage of the bottle opener is the ratio of the output force to the input force, resulting in a mechanical advantage of approximately 12.27.
Explanation:
The mechanical advantage (MA) of a simple machine is the ratio of the output force to the input force. In this scenario with the soda bottle opener, you are given an output force of 675 N and an input force of 55.0 N. To calculate the mechanical advantage, you divide the output force by the input force:
MA = Output Force ÷ Input Force
MA = 675 N ÷ 55.0 N = 12.27
The bottle opener has a mechanical advantage of approximately 12.27, meaning the force exerted on the cap is about 12.27 times greater than the force applied by the user.